Theorems · Theorem · combinatorics
SimpleGraph.edgeSet_deleteIncidenceSet
∀ {V : Type u_1} (G : SimpleGraph V) (x : V), (G.deleteIncidenceSet x).edgeSet = G.edgeSet \ G.incidenceSet xThe edge set of G.deleteIncidenceSet x is the edge set of G set difference the incidence
set of the vertex x.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SimpleGraphstatement and proof · cited by 3,072
- Sym2statement · cited by 737
- SimpleGraph.edgeSetstatement and proof · cited by 199
- SimpleGraph.incidenceSetstatement and proof · cited by 46
- SimpleGraph.fromEdgeSetproof · cited by 43
- SimpleGraph.deleteIncidenceSetstatement · cited by 11
- SimpleGraph.edgeSet_sdiffproof · cited by 7
- SimpleGraph.edgeSet_fromEdgeSet_incidenceSetproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.edgeFinset_deleteIncidenceSet_eq_sdiffproof · cited by 2